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Finding the Fourth Proportional to 22,623.58, 33,926.46 and 6,823.72

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Solution

The fourth proportional to 22,623.58, 33,926.46 and 6,823.72 is: 10,232.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,623.58 : 33,926.46 = 6,823.72 : x
  2. Step 2: Convert to fraction form
    22,623.58/33,926.46 = 6,823.72/x
  3. Step 3: Cross multiply
    22,623.58x = 33,926.46 × 6,823.72
  4. Step 4: Simplify right side
    22,623.58x = 231,504,663.63
  5. Step 5: Solve for x
    x = 231,504,663.63/22,623.58
  6. Step 6: Final answer
    x = 10,232.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.